Distort plane by multiple curves
It's possible, but as Duarte said in his comment it may be painful and requires some experimenting.


3 important things that you have to do:


subdivide your plane several times (being in Edit Mode press W-->Subdivide)
make sure the plane and both curves have the origin points placed in the same position
apply the transformations for all the objects (being in Object Mode press Ctrl+A-->Apply Rot&amp;Scale)




Now select the plane and give it two Curve modifiers (each one should have a different curve set as a target). Dissable the second modifier (eye icon). Check which deformation axis fits the first one. Fit the plane to the curve. Now enable the second one and do the same step as with the first one.